只有输出的广义样本区间DEA模型

A Generalized Sample Interval DEA Model with Only Output

在应用多个绩效指标综合评价决策单元有效性时,决策者常常把这些决策单元与另外预先指定的标准(样本单元)进行比较。由于客观事物的复杂性和不确定性导致样本单元和决策单元的指标信息有时必须用区间数的形式给出。针对区间数指标信息的综合评价问题,本文通过分解的方法讨论样本单元和决策单元指标信息为区间数时用广义DEA模型评价决策单元有效性的方法,并相应地构建了只有输出的广义区间DEA模型。同时,对模型的含义、求解以及性质等进行了分析。之后,探讨了该方法在决策单元有效性分类和排序中的应用。最后,通过实例表明该方法的可行性和有效性。

When multiple performance measures are used to evaluate the effectiveness of the decision-making units,the decision makers often compare these decision units with the pre-specified criteria(sample units).Because of the complexity and uncertainty of the objective things,the index information of sample units and decision unit must be given in the form of interval numbers.According to the three cases of the interval number of the evaluation index value of the sample unit or the decision unit,or the evaluation index values of both of them,it is established respectively that the generalized interval DEA model with only output(IS-DEA model,S-IDEA model and IS-IDEA model)based on the sample unit to evaluate the effectiveness of the decision making unit,and three types of generalized interval DEA models with output are further given according to the index types-benefit,cost and hybrid.At the same time,the meaning of the model,the solving methods,the related properties,the effectiveness classification and sequencing of decision making units of these models are discussed.Finally,an example of comprehensive performance evaluation of commercial banks is given to verify its feasibility and effectiveness.The method proposed in this paper extends the relative efficiency of the traditional DEA method,which is based on the effective decision unit,to evaluate the relative efficiency of the decision making unit,which is based on the arbitrary reference set,and extends the index value to the interval value.These models have their own advantages and application fields and can be chosen according to practical problems.